Question

From the graph given below, $y=P\left(x\right)$ has .................. zeros.

• A. $1$
• B. $5$
• C. $3$
• D. $4$

Answer 1

The correct option is D $4$

Zeros of $y=P\left(x\right)$ can be obtained by equating $y=P\left(x\right)=0$

So, we need to find the points where $y=0$.

The point of intersection with $x-$axis gives the number of zeros.

In the above graph, $P\left(x\right)$ intersects the $x-$axis at four different points.

Hence, $P\left(x\right)$ has $4$ zeros.